Metamodel based multi-objective design optimization of laminated composite plates

Kanak Kalita , Pratik Nasre , Partha Dey , Salil Haldar

Abstract

In this paper, a multi-objective multiparameter optimization procedure is developed by combining rigorously developed metamodels with an evolutionary search algorithm—Genetic Algorithm (GA). Response surface methodology (RSM) is used for developing the metamodels to replace the tedious finite element analyses. A nine-node isoparametric plate bending element is used for conducting the finite element simulations. Highly accurate numerical data from an author compiled FORTRAN finite element program is first used by the RSM to develop second-order mathematical relations. Four material parameters- E_1/E_2 , G_12/E_2 , G_23/E_2 and v_12 are considered as the independent variables while simultaneously maximizing fundamental frequency, lambda_1 and frequency separation between the 1st two natural modes, lambda_21. The optimal material combination for maximizing lambda_1 and lambda_21 is predicted by using a multi-objective GA. A general sensitivity analysis is conducted to understand the effect of each parameter on the desired response parameters.

Key Words

FE-surrogate; finite element; multi-objective; optimization; robust model

Address

Kanak Kalita, Pratik Nasre and Salil Haldar — Department of Aerospace Engineering and Applied Mechanics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711 103, India
Partha Dey — Department of Mechanical Engineering, Academy of Technology, Adisaptagram, Hooghly 712 121, India

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